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Finding the Fourth Proportional to 569,190.32, 785,457.08 and 314,536

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Solution

The fourth proportional to 569,190.32, 785,457.08 and 314,536 is: 434,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,190.32 : 785,457.08 = 314,536 : x
  2. Step 2: Convert to fraction form
    569,190.32/785,457.08 = 314,536/x
  3. Step 3: Cross multiply
    569,190.32x = 785,457.08 × 314,536
  4. Step 4: Simplify right side
    569,190.32x = 247,054,528,114.88
  5. Step 5: Solve for x
    x = 247,054,528,114.88/569,190.32
  6. Step 6: Final answer
    x = 434,045.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.